When choosing a lane to push in Conquest Practice, you have three choices. As you will most likely be running as a Hunter or a Mage, you will have one of the two following layouts:

Hunter: DUO MID SOLO ENEMIES Ymir Ra Guan Yu Neith Thor

ALLIES Sobek Anubis Hercules Kali _

Mage: DUO MID SOLO ENEMIES Ymir Ra Guan Yu Neith Thor

ALLIES Sobek Hercules Artemis Kali

From the start there is an obvious thing NOT to do, and that is go to the duo lane. Ymir will freeze you and prevent you from clearing wave and taking tower constantly. Just do NOT go left lane the entire game. It isn't worth it. Plus, Sobek can solo the lane better than any of the other lanes can (even Anubis will lose his lane to Ra before Sobek will to Ymir and Neith). It is thus a choice between going mid or solo. As a hunter, you can triple push the solo lane and get both towers down no matter the hunter in under 8 minutes very safely. However, going to the right risks Hercules stealing First Blood and you losing 300 gold which is a free Teleport. If you go mid, Anubis will very rarely steal first blood. If you go mid, you can clear waves without using any mana as Anubis will use his abilities to easily clear, yet you won't get as many kills for gold farm. If you go mid, you are very likely to be ganked by Ymir. I know it's a CPU - but you do NOT want to be frozen or else you lose time and have a far higher risk of dying. If you go right lane you likely won't see Ymir until very late. Either way, after taking Phoenix on either side you will have to take the lane you don't initially push in order to get the Titan to lose 3000 health.

If you choose to play as a mage, you will lose the mid lane by around 14-16 minutes if you go right. So you'd have to take the Phoenix before then in order to push back mid and take the mid Phoenix.