I honestly think this is a troll question, but it does strike home with me. What place grows fast enough that it requires mowing every week to keep it clean and neat? It sure doesn't here in the wettest part of the gulf coast, where many people are more concerned with killing or grazing grass than grooming it! .....Since the OP's post indicates he hasn't a clue about the job, he should probably go with newer equipment rather than older equipment that might need more support while he just works it into the ground. All in, this guy is getting on an expensive, steep learning curve.
....I mow 41 of my 43 acres and can't comprehend any situation where a single mowing combination can keep a place that size clean and neat, for a budget price. I use a couple of different tractors and a zero turn to do mine, while my favorite piece of cutting equipment is a drum mower. The drum mower doesn't take a ton of power to produce a nice tight cut that promotes grasses rather than weed growth, and leaves a windrow in the middle that shelters enough of the ground to hold moisture while the grass builds back cover in hot summer weather. Multiple other rough and finish cut mowers fill in the gaps, and always come in handy when using old equipment with plenty of use on them.