The first issue is that you can't do what you want to do with the tank that you have. 3'x1'x1' is not big enough or enough water volume to be able to keep "anemones" (especially plural) as they require pristine water conditions and heavy feeding. You could potentially solve the lighting problem with T5's, but the fixture that you'd get for that wouldn't necessarily scale well to your next tank. You're going to invest a lot of time, effort and energy if you want to do this hobby right and it's best to start with a tank of the dimensions that you're going to be comfortable with long-term. As there are many used tank options in most places in the country for much less than what is likely to be the 2-3 month operation cost, it's best to get the tank that you want or at least something close to it early on. My wife and I went through many iterations (100 gallon -> 50 gallon -> a nicer 100 gallon -> 240 gallon acrylic) before settling on the "tank of our dreams," a 6'x30"x2' starphire tank that is ultimately perfect in every way.. for us.
There are great options that would easily let you do what you want to do. Here is what I would recommend:
The nicest 2'x2'x2' or 30"x30"x2' cube you can find at a price you can afford with a sump and descent skimmer, an RO/DI filter so you can keep up with regular 25% water changes (I recommend once a week) and you can easily light those with a single 250W metal halide in a Lumenmax Elite reflector. Someone mentioned a fat wallet, and the truth of the matter is, no matter how you slice it, you're looking at $1000 to get started. Don't do what I did and try to figure out how to do it for less -- it won't work and you'll wind up spending more in the long run:
Simple budget with used equipment prices:
Tank -$250
Lights - $300
Sump - $50
Plumbing parts - $70
Return pump - $50
Flow - $150-600 (I'd recommend two Vortechs, but you could get by with 4 Koralia 1400's)
RO/DI - $150-200 mandatory in my opinion
Note that we haven't put water in it, salt mix, any rock, fish, anemone(s), or even decided that the first metal halide bulb we bought is the wrong color or the used one we got is old and too dim and now we need to go spend $80 on a new 250W metal halide bulb.
This isn't to be discouraging unless you don't want to spend the money to do it right. Not doing it right will involve killing lots of expensive and precious livestock.