What kind of glass is this

A traditional Manhattan is two shots of rye or bourbon, one shot of sweet vermouth, a dash of bitters and a cherry, shaken and strained into a martini glass. I prefer on the rocks in a rocks glass, myself.

A perfect Manhattan is similar, but uses a half shot each of sweet and dry vermouth. They tend to be more interesting when paired with a higher quality whiskey.

I'm also a big fan of white whiskey (aka, high quality moonshine) in Manhattans.

Most of the things in this are very easy to substitute.

Roses lime juice is sweet and non-alcoholic (and can be found in most supermarkets).

You can easily sub in heavy cream for Baileys: they don't taste the same, but chemically they react about the same.

Grenadine is just a pomegranate juice simple syrup. No alcohol there at all.

The only question is what you want to sub for the strawberry vodka. Some kind of soda, most likely. It's a question of taste. It won't be easy to get something that is both fruity and clear, but you might try white cranberry juice, or white grape juice.