Welll... let's take this one bit at a time.
1. In theory, you COULD just take it outside when you need to, but I'll bet that becomes a pain in the butt sooner than later. I am also not sure whether you'll affect the water quality produced by constantly moving the unit around. Shaking it around as would happen will almost certainly knock debis loose from the filter and it'll get into your water. Additionally, consider that the thing basically fills completely up with water when you first turn it on. Wherever you store it, count on water leaking out, etc as you move it.
2. Water will come out when you turn on the valve, or shortly thereafter, but even with a 110 GPD unit, expect a tricke more than a flow. Don't expect to just set it up, fill a bucket, and go back inside. It'll take some time to fill a bucket or pitcher with water, especially when you do a water change and need a lot of water.
3. It is easy to hook up to an outside faucet, but I don't know of any adapters to hook them up to an inside sink. That goes back to the saddle valve I talked about. You may have enough room where the pipes protrude from the wall to fit a saddle valve on there to run your unit. You still have to contend with the waste water. Depending on how bad your tap water is, your unit will produce varying amounts of waste water. I'd figure that for every 100 gallons your unit produces, you'll get at least 150 gallons of waste water.
Your best bet at this point would be to pair up the unit with a storage tank. I am almost positive that Sears and Lowe's both sell them. They hook up to the output of your RODI unit under the sink and store some water.. usually about 3 gallons or so.. and provide a faucet that you install at counter level to get the water out. That gets into some plumbing though, and given what you are telling me of your experience level you might be better off hiring a plumber to do it. Expensive as that may be, it would give you a separate faucet up at counter level to fill your containers.
