I agree either ETF or mutual fund is a fine option - it's better to pick one than wait. VTI and VTSAX beat 100% cash.
I favor ETFs, especially ones like VTI. I disagree it's complicated: you select "buy Vanguard ETFs", enter VTI, and select "market order". VTI and very high volume ETFs show a price gap of 1 penny, and then price improvement eliminates even that amount (VTI is $168.76/share now).
You will have cash left over at Vanguard. As your account grows, that fractional share becomes less and less significant - especially if you have BND ($84.35/sh) or VXUS ($56.64/sh) available for purchase, and you figure out a combination. Note Betterment already offers "fractional ETF shares", and at some point, others may have to follow suit.
The big advantage, in my view, is from rebalancing and tax loss harvesting. If you tax loss harvest from VTI to an S&P 500 ETF, like VOO, you can sell VTI, then seconds later buy VOO. You use a "credit" from the same of VTI to immediately buy an equal value of VOO.
The market tends to go up, so let me illustrate a problem with mutual funds by exaggerating with a +1%/day increase in stock prices. If you sell VTSAX on day 1, you wait until the market close, and you profit +1%. Great news... but now you're in cash. On day 2, you issue a buy order for VTIAX (Vanguard S&P 500). The market goes up another +1% while you sit in cash, and you pay 1% more for VTIAX. So if the market goes up +2% in 2 days, you only capture +1% of it, because you were out of the market for all of day 2. With ETFs, you are out of the market for seconds - you get the whole +2% gain over 2 days (in this exaggerated example, showing the potential downside). Most of the time, that won't happen - but sometimes it will. After all, the market tends to go up, so being out of the market tends to be a losing proposition.
Now to hurt my own preference, mutual funds also allow "auto investment", meaning you can automatically buy every week, or month or quarter. You can direct some of your paycheck to Vanguard, and have Vanguard automatically invest that amount. Very nice feature, and not available with ETFs.
One more advantage of ETFs: most brokerages now charge $0/trade, even for the ETFs of other brands. You can buy iShares or Schwab ETFs at Vanguard. Schwab lets you buy VTI for $0.
Keeping in mind that the market tends to move up, I'd say pick the approach you like, and start investing. Delaying means you're 100% in cash, which is a poor investment compared to either VTI or VTSAX.