Id say start with beer or cider. Mead demands time to mature (8+ months). Beer and cider can be drinkable within 2 - 3 weeks.
If I were you id go to my LHBS and get a beer making kit. It will have most everything youll need and you can use it on multiple applications, not just beer.
If you really have your heart set on starting some mead you will not have to buy as much equipment, maybe a gallon jug and a bung and air lock and siphon. The rest of the cost will go towards the ingredients (honey, yeast, spices, etc).
If you're going to make mead, id recommend not getting honey from the grocery store. Honey is not cheap so it might end up costing 10 - 15 bucks for a few pounds of 'specialty' honey at your LHBS, but it will definitely pay off in the end.
And prepare to get sucked into the wonderful world of brewing! If your anything like me within a few weeks of starting youll have many jugs and carboys bubbling away!!!
Good luck and enjoy.