Before of a shovel you'll need a spade because it's far more useful around the garden. Get a square-headed short one (will post pictures tomorrow if needed) and remember to sharpen it once in a while. Yes, always sharpen your spade.
Then you can get your shovel (tempered steel), a mattock (composite handle if possible) and a heavy hoe. Next up get a couple of rakes (a standard steel one and a plastic lawn one) and a cultivator: you can get something like the Gardena Combisystem here to save room and money.
Get a reinforced fiberglass hand trowel, like the ones Fiskars sell: they are far more useful than planters. Planters are only useful if you have loose soil AND you plan to plant a lot of bulbs, ornamentals and otherwise.
Get good secateurs (ARS or Felco), get a good pocket pruning saw (Silky or Kanzawa), get good gloves (I use Honeywell) and, this is something people always forget, a couple of good sturdy buckets.
That's about it to start.