Here's my 2 cts as I finish my last two weeks of taining (unaccompanied):
If you're family is coming, on base lodging may put you in TLF accomodations but no guarantees. I've got a buddy staying there w/his wife/kids but they're enroute Mildenahall so they may have gotten special consideration since all their sh!t is enroute UK. Ask lodging what they'll offer.
I spent a month in the Ramada Inn (dump) before I sourced a nice 1BR apartment at The Madison Trail Apartments (Altus' newest luxury apartments--don't take that too literally). A bud in my unit came with his wife and baby and got a 2BR for them at the same complex. The units are nice, fairly new and there is a pool in the complex. It's less than two mi from the front gate (you can hear taps) and the real upside is by staying off base you'll get full per dium ($32/day vs $22) which works out to $300 more a month for yo food. Rent for the 1 BR is $735/mo, not sure about the 2 BR, but most likely <$1,000. Either way the Joint Travel Regulation allows you to be reimbursed for rent, rental of furnishings, utilities, cable, phone use charges and maid service so long as you don't exceed the Altus max lodging rate (I believe $76/day or $2280/mo)--let me know if you need a more specific reference.
There is a Rent-A-Center that'll be happy to rent you a lovely 27" TV for $28/wk and a DVD player for $12/wk and sheister you for anything else you need (some apartments come furnished--more or less--mine had no TV or washer/dryer). Family support on base has a loan locker where you can borrow kitchen essentials (dinnerware, pots/pans, cups, utinsals, etc).
There seems to be quite a few TDY students, many w/families in these apartments.
One thing you'll want to get from billetting is a NON-A slip for the durration of your TDY just so your finance office can't/won't fusk with you (even though by the JTR you aren't required one).
I don't have a ph # to the rental office, but the earlier you can coordinate, the more likely they'll have something you can move directly into. Let me know if you need a ph#.
Good luck