In Saigon I may recommend to stay in this area. Almost every building there is 3 or 4 star hotel, rooms are faced to green area, most have balcony with chairs. Reasonable budget $30-40 with breakfast. Walking distance to Bui Vien.

Personally, I had experience with Cosmo Hotel and Liberty Hotel.

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Views from balcony of Cosmo Park hotel, building in front - theater for evening water show:

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