Sorry for the late response. Finally going home after an insane day.
All the places listed below have been frequented by me during the last three years.
First, in my opinion Lambertville restaurants are better than New Hope Restaurants. Please note that many restaurants in Lambertville are BYO and are cash only restaurants. It pays to call ahead .
New Hope
The Blue Moose Restaurantand Cafe has very good food and typically has live music on Thursdays, Fridays and Saturdays. A fun place can get a bit loud at times.
Nectar Wine Bar. Don't let the name fool you. Great selection of Whiskeys and Scotches. It can be loud at times but I don't remember any live music.
Havana- It is always busy during the Summer has bands and plenty of drunks.
Fran's Pub - A favorite of Bikers always busy during the summer but I don't remember any live music.
Lambertville
Lambertville is usually quieter than New Hope but as stated earlier, I think it has better restaurants.
Excellent Bar.
The Boat House. The Bar is next to the Canal in an alley but it is a great place for drinks
The Bell Tavern. A favorite of the locals . Always busy ,has music good basic food.
Excellent Restaurants
The Hamilton Grill Room. Located in the same alley as the Boat House Bar. It has one of the best steak that I have ever eaten outside of NYC, Chicago or St Louis. . Quiet place, accepts CC but it is BYO.
Lilly's on the Canal. You will need to access the Canal Pathway via Coryell Street and walk to your left .Excellent food accepts CC and has a liquor license.
The Inn of the Hawke Restaurant. A 1840's Inn. The owners live upstairs. Great place for a date night. Ask to be seated in the large room with view of the canal .
El Tule- A Peruvian restaurant. Excellent seafood. Accepts CC but it is BYO.
Stay away from the Lambertville Station Inn. The food is mediocre on a good day and the service sucks.This commented is based on two visits. They have Bar below with a fireplace. A great place for drinks.
Breakfast
Go to Frenchtown and have breakfast at the Frenchtown Cafe. They make a great omelet. Always busy.
Across the street from the Cafe there is wooden duck decoy store .It is worth the visit after breakfast . You will spend money there. They have plenty of cool wildlife " stuff".
I hope I gave you enough recommendations. Should you have any questions just ask.