I've literally just moved home, so happy to help with advice and guidance if you like, via DM or quote me. many things are already probably answered here, I couldn't be bothered to read every reply.
I'll just cover what you need in order to buy.
Decide where you want to live and research the average prices in that area for the amount of bedrooms you want.
Next is proof of funds. Do you have outright money to make a cash purchase or are you going to need a mortgage to make the difference?
If cash, just having a bank statement showing the funds will suffice for most estate agents to ensure you're not wasting their or their clients time, if you need to get a mortgage, start with seeing a mortgage broker, who will be able to give you an idea on how much you can borrow depending on how big your deposit is. Then they will provide you with a mortgage in principal which is what estate agents will want to see before allowing you view properties if they are doing their jobs properly.
As I assume you are only buying, and not selling, then the only additional cost is solicitors. This will probably be around a grand, maybe more. I was actually really impressed with my solicitor and majority was done online, she chased all the the other solicitors constantly and was on the ball, my sellers solicitor was shite and the whole thing almost missed completion because my sellers solicitor was so incompetent so I can also advise you to not use those (DC Law) . We only exchanged contracts 3 days before moving! Stressful is not the word! But if you're not also selling then it's a lot easier.
Stamp duty you will remain except from if you a first time buyer, so don't worry about the stamp duty holiday.
If you're not going for a mortgage it''s probably also worth getting a home buyers survey done, this will cost about £500 but will highlight any problems with the house. Now whilst I would advise getting one of these, they have lots of scary shit on them, especially as a first time buyer. Every house comes with it's problems, even new builds. By all means post stuff on here that comes up in the homebuyers survey and we can guide you. Tbh most of it can probably be ignored (not even new builds will be out to electircal standards for example because they change so often) but it's worth knowing if the house has a serious damp problem or is in dire need of a new roof that you wouldn't have spotted from just looking yourself.
You may be able to use the report as leverage to renegotate the price down. Be prepared for your seller to get arsey if you do this and to ask to see the report. This is where things get messy, as you own the report not them, by all means if you are using the report to renegitate the price then by all means just send them the pages of the detail you're arguing the toss over not the whole report.
If you're having a mortgage, then the bank will probably also do it's own survey. These are basic. When I sold my old property my buyers mortgage company send someone round, he probably spent no more than 30 mins in the property. When I bought my house the bank didn't even bother and did an online survey and concluded the house was a safe purchase. How they know this I don't know!! So even if getting a mortgage you may want to do a home buyers survey.
Whilst all that goes on your solicitors will get surveys on the area from local councils etc and raise enquires with your seller to answer.
This whole process can take anything from 3-6 months depending on how long the chain of properties involved. Also it's worth knowing estate agents, solicitors, survey people are exceptionally busy at the moment due to the stamp duty holiday, so things are taking even longer than they usually would. Wether this works to your advance or not, I don't know but the way of looking at it is it gives you additional time to save even more money and think about things you'll need to buy.
It all sounds pretty scary and complex, but to be honest, it's pretty simple and everything takes place in stages so you shouldn't get overwhelmed, but first thing first, is get your finances in order to show you have either the deposit required to satisfy a mortgage or the cash in the right account.
The last thing to sort will be movers, depending on how much stuff you need to move the cost will vary. To move a 2 bed house to another 2 bed house cost me £500. (I apparently had a 20% covid discount!!!)
If you don't have much to move then it could be cheaper to rent a van yourself if you can have a friend help, then you just need to think about how much you'll spend on appliances, sofas, beds, wardrobes etc etc.
This link pretty much details the whole process:
Step by Step Guide to Buying a Home- HomeOwners Alliance
Oh, and you want freehold if possible. My current property is both freehold and leasehold, but your solictor will explain any weird shit like that, I basically own both!!