First and foremost is to determine who is worthy of your worship. Now I would say that the only being worthy of your worship is your creator. Then you need to determine who your creator is and just worship him - no-one else.
Agree, except He has to prove that He is worthy of trust- and Yahweh does.
Now I would say, that it doesn't matter what name you call him so long as you are referring to the all-mighty, all-powerful creator who has created everything.
It matters plenty. Allah is not Yahweh. Their names are as different as their natures, missions, plans, and scriptures. Moreover, it is not plausible to assume a relationship with ANYTHING that remains nameless, because you can't really know someone without even knowing their name. Upon learning His name, and coming to know Him, one is welcome to address Him as they please, but one would NEVER call Him a Pagan gods' name after learning what He desires of us.
Now of the three beings in the trinity,
That term is a manmade term that causes much confusion. Yahweh manefested Himself for the different purposes the Messiah and set apart spirit serve. They are all Yahweh.
who would you say fits the criteria of the all-mighty? I would say, The Father. So worship just him (as Jesus did) and do not associate partners with him.
Explained above
Secondly, I would suggest finding out as much as you can about the historical Jesus.
Me too. Learn that His name is not Jesus, and He was the anointed messiah that filled every prophesy pertaining to Him. Many of which are impossible to fill today.
That is, non-religious opinions of Jesus.
All secular writtings concur what the gospels teach us.
And try to create a picture of him and what he may have preached.
The scriptures are a wonderful tool for that. That is one of the two reasons God came to dwell with us. To show us what He is like. The other to redeem us with a gift of salvation. Isaiah tells us Yahweh would accomplish this as Yshayahel. That means God existing as a man. Here is one of the most powerful verses in scripture.
Of the exceeding greatness and magnitude of (marbeh of the abundance of the multitude of offspring resulting from) His favor and restoration (shalowm recompense and restitution, completeness and perfection, prosperity and peace, rest and reward, friendship and blessing) and of His supreme authority and power (misrah dominion and rule, government and sovereignty; from sarah, meaning power to persist and preserve) nothing (ayin) will ever diminish throughout all of space-time (qets they are infinite, and without limit or constraint, in space and in time). He shall rule upon the throne (kicce) of David (dawid of love) and in the midst of (al on behalf of and for the sake of) His realm (mamlakah kingdom and dominion), rendering it sure and prosperous (kuwn establishing it upright, prepared, and firm; stable and secure; enduring and steadfast), restoring and renewing it (saad supporting, upholding, strengthening, and comforting; healing, refreshing, and sustaining it) with verdicts that are just (mishpat judgments and decisions which are proper and fitting), vindicating and justified (tsadaqah making many appear innocent, righteous, and upright) from this time forth (attah from now) and forevermore (ad owlam for a continuous existence throughout all eternity, for an unlimited duration of time without end). The passion (qinah the intense feeling, energy, deep devotion, and enduring love) of Yahuweh (YHWH), of the assembled servants (tsaba Yahuwehs spiritual messengers), will accomplish, produce, and perform this work (asah will fashion and achieve this effect, endeavor, cause, labor, and offering) as Yshayahel (a compound of el, God, hayah, existing as, and ysh, man)! (Yashayahu/Isaiah 9:7)