Should I practice my singing in the morning?

If you are completely fresher or beginner then first join a guru for learning basic vocal criteria and start contacting event organisers for performing in stage or concert. In this way you will be benifited...

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if a teacher has more than 4 ways to explain you one thing and knows what is passagio , stops you from pushy and throaty singing and if can relate the technique with many styles and genre then he/she can be a good choice.

Yes,Without Instruments you cannot learn vocal music.

There are certain Vocal exercises which you need to undergo along with regular Reyaz.