I was shooting a #38
recurve when I switched. I started at #40 peak weight and gradually wound the weight up over the year, successfully avoiding injury. I would suggest starting somewhere around #40 Peak and working up from there if you are serious about developing proper technique.
As for model and make that is entirely up to you. How much do you want to spend, where are you buying from etc. etc.
At a draw length of 27.75 I would tentatively suggest something in the 36-38" axle-to-axle range.
There can be some variation in preference including depending on what format you want to shoot (target/field/3D etc).
As this is your first
compound I would say consider something with reasonably easily adjustable draw length rather than modules.
I would also say consider a hybrid cam system as possibly easier to get your head around/maintain for a new starter.
However, these are entirely up to you, and you could reasonably be fine with anything.
As with all archery equipment, it depends on what is available and what feels good to you.
I'd suggest going along to a shop to try, or seeing what you can borrow from club members.
Remember that the mass-weight of a
compound is likely to be heavier than you are used to, and that you will also probably be needing various accessories in your budget (release aid, new arrows, and stabiliser at minimum).