I ideally want to locate a dishwasher on a peninsula diagonally across from sink. Does that create a problem, or need any heroic plumbing efforts? Trying to keep this remodel low budget.
You need three things for a dishwasher, electrical supply, hot water supply and access to a drain. As long as you can get all three to and from the location you are good to go. Obviously, you don't want long, twisty, convoluted drain lines. Depending on the circumstances you may need a backflow preventer and it's always a good idea to have an accessible shut off valve for the water.
Beat it to fit / Paint it to match
Access to the drain is the biggie. You need to have a drain line roughly equivalent to what you'd need for a sink, with a trap and properly vented. 12 feet is a typical limit on the length of the drain line -- not quite enough to reach over to the existing sink, I suspect.
Of all the preposterous assumptions of humanity over humanity, nothing exceeds most of the criticisms made on the habits of the poor by the well-housed, well-warmed, and well-fed. --Herman Melville
Actually, you'll also need a mop........if you are going to locate the dishwasher across a space from the sink you'll be mopping the junk up that drips from the dishes as you move them from the sink to the dishwasher.