You don't need to use a lawyer to draw up the docs unless you have special requirements: you can use the proforma memorandum (it's auto-filled if you apply online) and adopt the model articles of association.

- https://assets.publishing.service.gov.uk/media/5a7da236e5274...

- https://www.gov.uk/guidance/model-articles-of-association-fo...

If you buy and off the shelf company then you don't need any of that - they supply a pile of stuff (e.g. articles of association) and you don't need a solicitor to be involved.

Edit: And these days you don't even need two people - used to be that you needed two directors or director and company secretary.