On the one hand, its not so easy because I don't 'feel' like praising and it 'feels' false and my feelings dictate. On the other hand, its very easy. If you make your mind up to 'just do it' and 'not over think it' and most importantly, not be influenced by negative feelings, you can 'praise God' despite your circumstances.
In an earlier post I spoke of how, instead of a bunch of new year's resolutions (which I never achieve anyway), I chose to resolve to - Seek first the kingdom of God and all His righteousness, and all the rest shall be added - Matt 6 v 33. It makes no 'worldly' sense to operate in this manner.
The same 'no sense' principal applies to praising God despite your circumstances and trusting Him to work out the problems and hurts for you. These are Godly principals and God never lies. So, if He says 'praise Me and let me worry about what needs to be done', then that is what we should do. Like little children listening to their parents and trusting them no matter how things look.
Ps 34 v 1: I will bless the Lord at all times; His praise shall continually be in my mouth.
Well, that says praise no matter what the circumstances (at all times).
Ps 146 v 2: While I live I will praise the Lord; I will sing praises to my God while I have my being.
Praise Him your whole life!
Heb 13 v 15: Therefore by Him let us continually offer the sacrifice of praise to God, that is, the fruits of our lips, giving thanks to His name.
Why does the writer say 'sacrifice' of praise? I believe its because sometimes to praise is not easy as we are hurting or angry or hassled and our feelings can prevent us from praising. So praising God is a sacrifice for us. A sacrifice that God loves. Also, God would rather have us make a 'sacrifice' of praise or thanksgiving than something materialistic that we think is precious. David said that God would rather have a sacrifice of praise and thanksgiving than the normal offerings made at that time!