Szabo is correct that it's not going to be too tough to get +1 pieces done. Body will likely be the most annoying one to complete.
Weapon - other than Taurine Cesti, Metasoma Katars are a solid placeholder option from the AH. Fire path magian claws are probably your best non-Relic/Empy weapon option, and can easily be done solo - just requires some time.
Armor - Aurore is designed as a good placeholder set until you can get Tantra +1/+2 pieces, no shame in using it until you can get something better.
Other cheap AH gear that's good includes:
Ammo - Thew Bomblet (eventually you can upgrade to the more expensive Potestas)
Earrings - Ghillie, Kemas are both solid pieces
Neck - Rancor Collar is affordable now, and very good (with max Tonberry hate). Calcitrant Stole is also very good and affordable - doesn't have as much offense as max hate Rancor, but it's very nice in situations where you might want to avoid the nasty damage taken+ effect (e.g. solo, tanking).
Back - Get Atheling as soon as you can (honestly, you can hang out by Orthrus and probably get people farming it for claws to GIVE you the 100% drop mantle). Vellaunus for cheap off the AH can hold you over until then though.
Rings - Rajas/Epona is what to strive for, but Heed and Keen rings are good cheap AH options. Spiral Ring is a great WS piece.
Hands - Melee Gloves+2 are a very nice piece. You need Forgotten Touch items from Dynamis to upgrade them to +2 (need 50 from NQ Melee Gloves, 30 from Melee Gloves +1). Can farm them yourself, or just farm whatever you want for gil and buy the forgotten items from bazaars.
Anza: Titan 2004-2011 / Capuchin: Phoenix 2011-???