Still to achieve such a thing we would need a Time Lord and those aren't easy to buy/find.
Also i'm still skeptical about "Time",Time do not exist. What we use for seconds, hours ,days, weeks, months ,years etc its all made for the earth rotation around the sun
So no time no religion cuz they are based on time as well
So no time no science
The Universe its chaotic to find its secrets we have to think inside and outside the box.
Well we forget an important thing first of all a journey like that would take quite a while and our life spawn isn't to long so we are going to need a cryogenic state to hibernate or
The shortest distance btw 2 points is zero not a straight line the space fold on itself this could save "time" and energy but for this...we need a black whole engine which will take allot of time but would be better also adverse effects could have: time bubbles ,mass energy explosion,engine running out of control ,random teleportation.
Id say we need a gate so we don't random pop up in universe in a star,rock,planet etc
A safe point where the warp engine could tele
To build a warp gate we need a ship with Solar Sails/or whatever engine that have robots/humans(in cryogenic state depends by how far we wana go but id say not to far would be best) that will build a warp gate at destination so we could tele btw them ,ofc we will build 1 around the earth as well because the starship will have to come back. The construction of gate(x1- the one near the earth) will provide as beta for the x2 destination and send data for errors and stuff found out during the construction of x1) we could make mini-testers after the gate x1 is finished ,to see if the travels are accurate during the construction of gate x1 the mini-testers will be spread out in our solar system and test after the construction of x1 is done.
So yah the plan goes long down its extremely complicated for us to achieve that
best fuel what could bring us closer to light speed is antimattery engine its most powerfull till now known coz from what we know black holes is from antimattery attoms and blackholes can move in time and space