drain the pan of the donor trans. its easy if its still in the donor car. or the fluid can leak out via the axle holes when you lift it up and in.

same for your old tranny, drain the pan first, then take it out. you dont need to take the pan off, just crack the bolts free along two side to a corner, it will drain out that corner.

pan drop is like 8 quarts, the donor tanny should be able to take it if its fluid looks good. i know you said low budget, but this is a great time for a shift kit to be installed. they run like 40 bucks or so. do put a new filter int he new tranny too. dont be to cheap. some stuff is just done because its dumb not to.