You could always look for a second hand n2m cot and get a replacement mattress for it to keep costs down, equally it would be fine to move straight into a cot in the same room as you
My lg wouldn’t go in her Moses basket so she’s now in her cot but it’s next to the bed Asif it was a next to me crib
I think a lot of Moses baskets have the same weight limit as next to me cribs which is 9kg, I have a big boy who was 14lb 3 at 9 weeks, never had a Moses basket but will be upsizing our next to me to a crib in the next few months- 11 weeks now