I'll put some clarification here because the legislative process is very complicated and there was a lot of mis-communication and misconceptions when SB17 went through the Senate. The House operates the same way.
HB 910 is not going for a vote tomorrow. A bill has to be ready three times on three separate days before it can be voted on unless that rule is suspended. On a controversial bill like this, it is highly unlikely that they will suspend that rule. The usual process is the following:
First Day: Bill is read. If it's minor or an emergency, the three day period can be suspended to get it passed on the first day. This won't happen with HB910.
Second Day: Bill is read, amendments are proposed and debated/voted on. Amendments require a majority to pass. Bill as amended is voted on. If it passes, it is considered engrossed. Do not confuse this with passing out of the Senate, that final vote will happen on the third day.
Third Day: Bill is read. Amendments can be proposed at this time, but it requires a much higher percentage of favorable votes to pass so they typically don't. There is a final vote on the bill and it is passed through the House.
How fast the bill progresses depends on what kind amendments are proposed in the House. If the same amendments are proposed and approved that were added to SB17, we will most likely see the bill get to the Governor's desk very quickly. If it's different from SB17, it will delay it significantly.